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Finding the Fourth Proportional to 8,671.38, 11,966.50 and 4,945.38

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Solution

The fourth proportional to 8,671.38, 11,966.50 and 4,945.38 is: 6,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.38 : 11,966.50 = 4,945.38 : x
  2. Step 2: Convert to fraction form
    8,671.38/11,966.50 = 4,945.38/x
  3. Step 3: Cross multiply
    8,671.38x = 11,966.50 × 4,945.38
  4. Step 4: Simplify right side
    8,671.38x = 59,178,889.77
  5. Step 5: Solve for x
    x = 59,178,889.77/8,671.38
  6. Step 6: Final answer
    x = 6,824.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.